Then I would be doing 30 - 40% water changes daily. How long you do these depends on cycling, which is why I suggested a test kit.
I may have read it wrong but I gather it was the filter media in current use at the time the cat created the problem, that you say dried out in the bucket?
Or did you mean the old filter had media that had dried out?
Did you have any used media that had not dried out? If so, that is what should be in the filter now being used. If you have, you should be fine. If you haven't then the tank will have to cycle again.
This is why it pays not to overstock, or if you do, make sure you have contingencies in place for when trouble arises.